Sa. Ostanin et Vy. Trubitsin, CALCULATION OF THE P-T PHASE-DIAGRAM OF ZR IN DIFFERENT APPROXIMATIONS FOR THE EXCHANGE-CORRELATION ENERGY, Physical review. B, Condensed matter, 57(21), 1998, pp. 13485-13490
The full-potential linear muffin-tin orbital method is used within the
local density approximation and generalized gradient approximation (G
GA) to calculate the total energy and equilibrium lattice properties f
or the observed phases of Zr. The temperature dependences of the free
energy, specific volume, bulk modulus, Debye temperature, and Gruneise
n constant are found for these structures within the Debye model. For
most quantities, a good quantitative agreement with experiment is obta
ined. The P-T phase diagram constructed from the calculated thermodyna
mical Gibbs potentials within the GGA fits well the available room-tem
perature data on the alpha-->omega and omega-->beta transitions. At am
bient pressure, we get Tbeta-->alpha = 1193 K, which is close to the o
bserved value.